Search a number
-
+
803315844 = 223222314329
BaseRepresentation
bin101111111000011…
…010000010000100
32001222120200011200
4233320122002010
53121122101334
6211413502500
725623033462
oct5770320204
92058520150
10803315844
113824a60a1
121a5041a30
13ca574226
147898d832
154a7ce799
hex2fe1a084

803315844 has 18 divisors (see below), whose sum is σ = 2030604030. Its totient is φ = 267771936.

The previous prime is 803315813. The next prime is 803315867. The reversal of 803315844 is 448513308.

It can be written as a sum of positive squares in only one way, i.e., 536385600 + 266930244 = 23160^2 + 16338^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 22314329 = 803315844 / (8 + 0 + 3 + 3 + 1 + 5 + 8 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 803315799 and 803315808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11157129 + ... + 11157200.

It is an arithmetic number, because the mean of its divisors is an integer number (112811335).

Almost surely, 2803315844 is an apocalyptic number.

It is an amenable number.

803315844 is an abundant number, since it is smaller than the sum of its proper divisors (1227288186).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

803315844 is a wasteful number, since it uses less digits than its factorization.

803315844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22314339 (or 22314334 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 803315844 is about 28342.8270290739. The cubic root of 803315844 is about 929.5985641709.

The spelling of 803315844 in words is "eight hundred three million, three hundred fifteen thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 22314329 44628658 66942987 89257316 133885974 200828961 267771948 401657922 803315844